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pro vyhledávání: '"Canfield, E. Rodney"'
Let $S_r(p,q)$ be the $r$-associated Stirling numbers of the second kind, the number of ways to partition a set of size $p$ into $q$ subsets of size at least $r$. For $r=1$, these are the standard Stirling numbers of the second kind, and for $r=2$, t
Externí odkaz:
http://arxiv.org/abs/2409.01489
For a random binary noncoalescing feedback shift register of width $n$, with all $2^{2^{n-1}}$ possible feedback functions $f$ equally likely, the process of long cycle lengths, scaled by dividing by $N=2^n$, converges in distribution to the same Poi
Externí odkaz:
http://arxiv.org/abs/1903.09183
Autor:
Martin, Jacob G., Canfield, E. Rodney
A t by n random matrix A is formed by sampling n independent random column vectors, each containing t components. The random Gram matrix of size n, G_n, contains the dot products between all pairs of column vectors in the randomly generated matrix A;
Externí odkaz:
http://arxiv.org/abs/1309.2599
Fix a choice and ordering of four pairwise non-adjacent vertices of a parallelepiped, and call a motif a sequence of four points in R^3 that coincide with these vertices for some, possibly degenerate, parallelepiped whose edges are parallel to the ax
Externí odkaz:
http://arxiv.org/abs/1210.6667
We define the notion of asymptotically free for locally restricted compositions, which means roughly that large parts can often be replaced by any larger parts. Two well-known examples are Carlitz and alternating compositions. We show that large part
Externí odkaz:
http://arxiv.org/abs/1208.0870
Autor:
Canfield, E. Rodney, Wilf, Herbert S.
We study the rate of growth of $p(n,S,M)$, the number of partitions of $n$ whose parts all belong to $S$ and whose multiplicities all belong to $M$, where $S$ (resp. $M$) are given infinite sets of positive (resp. nonnegative) integers. We show that
Externí odkaz:
http://arxiv.org/abs/1009.4404
Autor:
Canfield, E. Rodney, Gao, Zhicheng, Greenhill, Catherine, McKay, Brendan D., Robinson, Robert W.
A boolean function of $n$ boolean variables is {correlation-immune} of order $k$ if the function value is uncorrelated with the values of any $k$ of the arguments. Such functions are of considerable interest due to their cryptographic properties, and
Externí odkaz:
http://arxiv.org/abs/0909.3321
The Mahonian statistic is the number of inversions in a permutation of a multiset with $a_i$ elements of type $i$, $1\le i\le m$. The counting function for this statistic is the $q$ analog of the multinomial coefficient $\binom{a_1+...+a_m}{a_1,... a
Externí odkaz:
http://arxiv.org/abs/0908.2089
Autor:
Canfield, E. Rodney, McKay, Brendan D.
Let m,n be positive integers. Define T(m,n) to be the transportation polytope consisting of the m x n non-negative real matrices whose rows each sum to 1 and whose columns each sum to m/n. The special case B(n)=T(n,n) is the much-studied Birkhoff-von
Externí odkaz:
http://arxiv.org/abs/0705.2422
Autor:
Canfield, E. Rodney, McKay, Brendan D.
Let s,t,m,n be positive integers such that sm=tn. Let M(m,s;n,t) be the number of m x n matrices over {0,1,2,...} with each row summing to s and each column summing to t. Equivalently, M(m,s;n,t) counts 2-way contingency tables of order m x n such th
Externí odkaz:
http://arxiv.org/abs/math/0703600